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221244040 = 23547137859
BaseRepresentation
bin11010010111111…
…10101010001000
3120102022100202201
431023332222020
5423114302130
633542005544
75324354233
oct1513765210
9512270681
10221244040
11103982a16
12621168b4
1336ab4a44
142155241a
1514653bca
hexd2fea88

221244040 has 64 divisors (see below), whose sum is σ = 512697600. Its totient is φ = 85882368.

The previous prime is 221244019. The next prime is 221244043. The reversal of 221244040 is 40442122.

It is a junction number, because it is equal to n+sod(n) for n = 221243999 and 221244017.

It is not an unprimeable number, because it can be changed into a prime (221244043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257131 + ... + 257989.

It is an arithmetic number, because the mean of its divisors is an integer number (8010900).

Almost surely, 2221244040 is an apocalyptic number.

221244040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256348800).

221244040 is an abundant number, since it is smaller than the sum of its proper divisors (291453560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221244040 is a wasteful number, since it uses less digits than its factorization.

221244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 221244040 is about 14874.2744360859. The cubic root of 221244040 is about 604.8168195284.

Adding to 221244040 its reverse (40442122), we get a palindrome (261686162).

The spelling of 221244040 in words is "two hundred twenty-one million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 137 188 235 274 376 470 548 685 859 940 1096 1370 1718 1880 2740 3436 4295 5480 6439 6872 8590 12878 17180 25756 32195 34360 40373 51512 64390 80746 117683 128780 161492 201865 235366 257560 322984 403730 470732 588415 807460 941464 1176830 1614920 2353660 4707320 5531101 11062202 22124404 27655505 44248808 55311010 110622020 221244040